Question

solve for value of x , also verify the result :- ( x -a ) / b = ( x+a ) / (b +a )
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Answer 1

Answer:

$\frac{(x - a)}{b} = \frac{(x + a)}{(b + a)} \\ (x - a)(b + a) = b(x + a) \\ x(b + a) - a(b + a) = bx + ab \\ bx + xa - ab - {a}^{2} = bx + ab \\ bx \: - bx + xa - ab - ab - {a}^{2} = 0 \\ xa - 2ab - {a}^{2} = 0 \\ xa = 2ab + {a}^{2} \\ x = \frac{2ab + {a}^{2} }{a} \\ x = \frac{a(2b + a)}{a} \\ x = 2b + a$

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